Admission Notifications - CAT 2013 - Oct 16 2013 to Nov 11 2013

The Common Admission Test (CAT) 2013 for Indian Institutes of Management (IIMs) and other business schools will be conducted from October 16 to November 11. Students can choose any slot during the period.

Registration

CAT vouchers will be available at select Axis Bank branches from July 29 to September 24 and the registration window will be open from July 29 to September 26. IIM Indore is conducting the test.

This year, four new locations, Surat, Udaipur, Trivandrum and Vijayawada, have been added to the existing 36. Prometric India will conduct the exams on behalf of the IIMs and IIM-Indore will organize the tests. Convenor of CAT this year Rohit Kapoor said the paper would be divided in two sections as usual.

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BANK PO LOGICAL ABILITY SOLVED PAPER

1.If GRAMMAR is written as MAMRAGR, the ENGLISH is written as:
(a) LIGNSEH
(b) GINESHL
(c) LGINSEH
(d) NHSELGI
(e) None of these
Ans (c)

2. Which of the following replaces the question mark?
MILD : NKOH :: GATE?
(a) HCWI
(b) HDVQ
(c) IBUP
(d) HDUR
(e) None of these
Ans (a)

---

3. If DBMDVUUB stands for Calcutta, How will you write Bombay?

(a) DQUDDXB

(b) CPMCBZ

(c) DPNCB

(d) CPNCBZ

(e) None of these

Ans (d

4.Insert the word that completes the first word and begins the second

Clue: boy

BAL(....)DER

(a) ERS

(b) OCK

(c) LAD

(d) LIES

(e) None of these

Ans (c)

5. A man travels three miles due North, then travels eight miles due East and further travels three miles due North. How far is he from the starting point?

(a) 14 miles

(b) 10 miles

(c) 100 miles

(d) 15 miles

(e) None of these

Ans (b)

6. Which is the wrong member among the following?

(a) Microscope

(b) Stethoscope

(c) Telescope

(d) Periscope

(e) None of these

Ans (b)

7. From the following select the member that does not belong to the set

(a) Whale

(b) Crocodile

(c) Lizard

(d) Snake

(e) None of these

Ans (a)

8. Which is not related in the following set?

(a) Othello

(b) King Lear

(c) Macbeth

(d) Oliver TwistV

(e) None of these

Ans (d)

9. Which is the wrong member in the following set?

(a) Graphite

(b) Diamond

(c) Pearl

(d) Coal

(e) None of these

Ans (c)

10. From the following select the word that does not belong to the set

(a) Cube

(b) Rectangle

(c) Rhombus

(d) Square

(e) None of these

Ans (a)

11. If in a certain code TWENTY is written as 863985 and ELEVEN is written as 323039 how is TWELVE written?

(a) 863584

(b) 863203

(c) 863903

(d) 863063

(e) None of these

Ans (b)

12. Showing a man Saroj said: “He is the brother of my Uncle's daughter”. What is the relation of Saroj with that man?

(a) Son

(b) Brother-in-law

(c) Nephew

(d) Cousin

(e) None of these

Ans (d)

13.In a certain code MONKEY is written as XDJMNL. How is TIGER written in that code?

(a) SDFHS

(b) SHFDQ

(c) QDFHS

(d) UJHFS

(e) None of these

Ans (c)

14.Choose the subject which is different from others

(a) Mathematics

(b) Arithmetic

(c) Geometry

(d) Algebra

(e) None of these

Ans (a)

15. Aluminium is to Bauxite as iron is to

(a) Pyrite

(b) Haematite

(c) Magnesite

(d) Iron Oxide

(e) None of these

Ans (b)

16. Which among the following is different from others?

(a) DE

(b) PQ

(c) TU

(d) MO

(e) None of these

Ans (d)

17. Which is the odd pair of words different from the following sets?

(a) Blacksmith : Anvil

(b) Carpenter : Saw

(c) Goldsmith : Ornaments

(d) Barber : Scissor

(e) None of these

Ans (c)

18. Which is the pair like Triangle : Hexagon?

(a) Cone : Sphere

(b) Rectangle : Octagon

(c) Pentagon : Heptagon

(d) Triangle : Quadrilateral

(e) None of these

Ans (c)

19. Bag is related to luggage in the same way as ship is related to

(a) Cargo

(b) Coal

(c) Stock

(d) Weight

(e) None of these

Ans (a)

20. Moon : Satellite :: Earth : ?

(a) sun

(b) solar system

(c) asteroid

(d) planet

(e) None of these

Ans (d)

21. Select the pair which has the same relationship as the given pair Traveler : Destination

(a) Beggar : Donation

(b) Teacher : Education

(c) Refugee : Shelter

(d) Accident : Hospital

(e) None of these

Ans (c)

22. A man is facing north-west. He turns 90o in the clockwise direction and then 1350 in the anticlockwise direction. Which direction is he facing now?

(a) east

(b) west

(c) north

(d) south

(e) None of these

Ans (b)

23. Which is the irregular member of the following group?

(a) RQPA

(b) MLKA

(c) STUA

(d) HGFA

(e) None of these

Ans (c)

24.Choose which is least like the other words in the group?

(a) Club

(b) hotel

(c) hostel

(d) inn

(e) None of these

Ans (a)

25. Which among the following is same as Violet : Orange : Yellow?

(a) Purple

(b) White

(c) Pink

(d) Blue

(e) None of these

Ans (d)

Bank Essay topics for Written exams

1. Uses of Public Library        
2. Man is a moral, accountable being
3. Smoking Should Be Banned In Public Places
4. Festivals Of India Abroad   
5. What brought losses in the recent quarters for a few banks and steps they should take to avoid losses.
6. The Qualities Of A Good Citizen
7. COTTAGE INDUSTRIES
8. Sex Education--Relevance and Challenges
9. FDI IN RETAIL
10. FEATURE OF ECNOMIC RECESSION
11. Corruption In India
12. Legalising Prostitution in India
13. Is it advisable to take up a government job or a private sector job and why?
14. RISE OF THE AMERICAN DOLLAR
15. LATEST TECHNOLOGIES IN BANKING
16. Role of media in a democracy
17. Twenty overs cricket -- is it helping cricket or takes away the merit of cricket -- in the light of fixing controversies
18. MOBILE BANKING
19. STRATEGY TO ALLEVIATE POVERTY
20. Social Banking
21. TV - An Addiction
22. BANK ARE MANUFACTURE OF MONEY
23. Newspapers -- relevance in the context of internet and television providing immediate news .
24. WOMEN SECURITY
25. Unemployment
26. Man and Environment
27. DISCIPLINE IN LIFE
28. Measures to improve economy
29. Jan Lokpal Bill
30. Dowry System : A Curse
31. Bribery in Business
32. "The greater the spirit, greater is the chances of success in any work/venture/attempts". Elaborate
33. Hike in petrol prices -- Is it right for the government to hike or not?
34. Budget 2013-14
35. Computer websites like facebook, twitter -- are they helpful or they affect our privacy?
36. Economic Growth Of India
37. Status of Women in India: Peeping into the Grey Areas
38. Can politics be delinked from Indian sport?
39. Who must take care of the environment?
40. Leadership is doing the right things; Management is doing things right
41. Corporate Social Responsibility benefits the bottom line
42. Has globalization really worked?
43. Integrity at work
44. Buying options: A matter of trust
45. People: The most important asset of any enterprise
46. Cricket a national obsession- detrimental to other sport
47. Man is a Social Animal
48. Management styles: Why things go wrong?
49. Do we need to dress for success?
50. What do Chief Executive Officers do?
51. The element of Risk in management.
52. Outsourcing to reduce risk
53. Management is what managers do
54. Terrorism benefits whom
55. Nation’s growth must be inclusive
56. Distribution of  free laptop to students is not good.
57. The secret to winning more gold in the Olympics
58. The ban on smoking- Gimmick or success
59. Why does a nation need forex reserves?
60. What makes you a suitable candidate for an MBA?
61. Is India really shining?
62. What is revenue deficit?
63. What is the job of the Manager?
64. Is democracy working for India?
65. Performance appraisal- A Useful tool for growth
66. Corruption an outcome of Democracy
67. Agricultural subsidies: A Boon or a Bane
68. The problems of a few airlines and suggestions for their recovery
69. Do we need a dictator?
70. Does the media need censorship?
71. Reforms in education  a necessity
72. Management objective- Maximise profits
73. Classroom learning vs experiential learning
74. Is democracy hampering our growth?
75. Is peace and non-violence for the 20th century only?
76. Is India safe for its citizens?
77. One can make a difference
78. What does 15th August mean to me?
79. Is Gandhi’s policies  relevant today?
80. I believe, success in life comes from
81. Dependence on computers a blessing or bane
82. Voters and not politicians responsible for criminalization of politics
83. Business ethics - A necessity or luxury
84. Do the modern means of telecommunication post a threat to our society and culture.
85. Can Laws alone fight corruption?
86. Women empowerment and national development
87. Security imperatives for India in the emerging ge0-political developments
88. Freedom of expression is an absolute right - for and against.
89. Old is gold - for and against
90. The predicaments of democracy
91. In India when inflation rises governance stalls
92. Modern world’s fear about nuclear energy
93. Information Technology changing the Indian society
94. Inventions generate necessity
95. Does Indian cinema shape our popular culture or simple reflect it?
96. Both human intelligence and technical intelligence are crucial in combating terrorism

Bank Essay Topics - Points & Tips for each Topic

1.  The problems of a few airlines and suggestions for their recovery.

Points:  Problems faced by Kingfisher Airlines, Air India.  -- Pilots going on mass leave , steps taken by the government.  -- causes and remedies.

2.  What brought losses in the recent quarters for a few banks and steps they should take to avoid losses.
Points:  High incidence of NPA in new loan accounts also.  -- pertains to many sectors such as industries, education loan, housing loan etc.  Pressure brought by politicians to make advances to all without leaving scope for study of individual cases.  -- also careless dealing of advance sanctions by a few personnel-- for personal gains.

3.  Twenty overs cricket -- is it helping cricket or takes away the merit of cricket -- in the light of fixing controversies.

Points:    Twenty overs cricket -- too much advertisement, costs.  Each player is paid high amounts.  Ticket costs are high.  Most of the matches last over only decides the match -- fixing up of these matches cannot be ruled out.  Sachin Tendulkar has said though there are minor lapses in IPL , it is a good form of cricket.

One way good players from various countries join together in one team and play.  Not good in one way - players from the same Indian state compete here.

4.  Hike in petrol prices -- Is it right for the government to hike or not?

Points:    High is mainly due to rise in the value of dollar as against indian rupees.  International oil prices have not risen.  There is scope for reduction of prices increased.  But many parties try to capitalise on this situation.

5.  Computer websites like facebook, twitter -- are they helpful or they affect our privacy?
Points:  Some of the websites do not have adequate privacy terms.  Users are not aware as to how they have to protect their privacy.  When the photos, information fall into the hands of unscrupulous people they misuse the same.  Too much time is wasted on these websites by youngsters-- boys and girls affecting their studies.
6.  Is it advisable to take up a government job or a private sector job and why?
Points:   There is no job security in IT industry and other private sectors.  it is advisable to join a public sector bank or company, serve well and be hopeful of getting rises in career.   Though salary may not match the IT industry one has job satisfaction, mental satisfaction and opportunity to serve others.

7.  Newspapers -- relevance in the context of internet and television providing immediate news .

Points:  Yes, news is available in internet,   In many parts of our country internet has not spread adequately--even college students do not have access to internet.  Newspaper can be read at any part of the day or thereafter and helps one to improve his communication skill.
8.  "The greater the spirit, greater is the chances of success in any work/venture/attempts". Elaborate.

Points":  Anything we do we must do with sincerity and full interest.  When a lady cooks food with passion the quality of food will be good.  On the other hand when she cooks with lack of interest it will not come out well.  this can be extended to any field -- acting in a movie, playing for a State or country in cricket, football , writing stories, books,  managing functions etc.

Solved Analytical Reasoning Paper

Directions: Study the following information carefully and answer the given questions.

Eight friends A, B, C, D, E, F, G and H are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. The ones who sit at the four corners face the centre while those who sit in the middle of the sides face outside. A, who faces the centre, sits third to the right of F. E who faces the centre, is not an immediate neighbour of F. Only one person sits between F and G. D sits second to the right of B. B faces the centre. C is not an immediate neighbour of A.

Q1. Who sits third to the left of D?

    G
    H
    F
    C
    Cannot be determined

Q2. What is the position of C with respect to G?

    Fourth to the right
    Fourth to the left
    Both (a) & (b)
    Second to the right
    Second to the left

Q3. Which of the following will come in place of the question mark based upon the given seating arrangement? GA   EC   BG   CD   (?)

    HE
    FH
    FB
    AH
    BF

Q4. Which of the following is true regarding C?

    C faces the centre
    C is second to the left of F.
    C sits exactly between A and B
    B sits third to the left of C
    Cannot be determined

Q5. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?

    C
    G
    F
    H
    D
ANSWERS

Q1. A

Q2. C

Q3. A

Q4. B

Q5. E

Solved Sentence Correction Practice paper from previous Exam papers - IBPS /RRB/PO/MBA Admissions

Read each sentence to find out whether there is any grammatical error in it. The error if any will be in one part of the sentence, the number of that part will be the answer. If there is no error, mark (5) as the answer. (Ignore errors of punctuation, if any)

1. The right to adequate food (1) / and clean drinking water (2) / should be regarded as a (3) / basic right of all citizen of India (4). No error (5)
2  A sharp fall in (1) / international prices of tea (2) / have lead tea plantation workers (3) / in Kerala to face starvation (4). No error (5).
3  In spite freedom of the press is vital to democracy (1) / the thin line between reporting facts (2) / and expressing opinions on them (3) / is being increasingly crossed (4). No error (5)
4  In India, the teacher has been elevated (1) / to a position of power (2) / and a part of that power has been (3) / to assuming the right to punish the students (4). No error (5)
5  In the flying game, there are a host of (1) / new low-cost airlines that dare to roar, (2) / providing a glimmer of hope of (3) / more cheaper air transport to millions (4). No error(5)
6  A question worth to ask is that (1) / whether the National Awards represent (2) / Pan - Indian cinema or (3) / is the focus on mainstream films only (4). No error (5).
7  Indian every single (1) / expectation from its cricket team (2) / invariably oscillates between (3) / a cynical pessimism and an unjustified optimism (4)/. No error (5)
8  The road widening exercise (1) / who aims to make National Highway a four-lane highway, (2) / poses a threat to the (3) / fragile environment of the Himalayas (4). No error (5).
9  In the aftermath of the Asian tsunami, (1) / the sporting community have responded (2) / swiftly to contribute in whatever way it could, (3) / both financially and qualitatively (4). No error (5)
10 Seen as an indicator of the maturity (1) / of outsourcing business in India, (2)/ the Indian outsourcing market is (3) / expected to growth to eleven billion dollar by this year (4). No error (5).




ANSWERS

1 .d
2 .c
3 .a
4 .d
5 .d
6 .d
7 .a
8 .b
9 .b
10.d

Indian Cities & Nicknames

City	State	Nickname
Ludhiana	Punjab	Manchester of India
Amritsar	Punjab	Golden City , Guru Ki Nagri - "The Guru's City"
Bangalore	Karnataka	Garden City
		Silicon Valley of India
Bhubaneswar	Orissa	Cathedral City
		Temple City of India
		City of Temples
Coimbatore	Tamil Nadu	Manchester of South India
Darjeeling	West Bengal	The Queen of the Hills
Jaipur	Rajasthan	Pink City
Jaisalmer	Rajasthan	Golden City of India
		Sun City
Kolkata	West Bengal	City of Joy, City of Palaces, City of Bridges, Cultural Capital of India, Literary Capital of India, City of Furious Creative Energy
Kanpur	Uttar Pradesh	Manchester of North [13], Leather City of the World [14]
Lucknow	Uttar Pradesh	City of Nawabs
Mumbai	Maharashtra	City of Seven Islands, City of Dreams
Nagpur	Maharashtra	Orange City
Pune	Maharashtra	Queen of Deccan
Siliguri	West Bengal	Gateway to the Duars, Gateway to the Northeast
Udaipur	Rajasthan	City of Lakes
		Venice of the East
Varanasi	Uttar Pradesh	City of Temples
		City of Learning
Jamshedpur	Jharkhand	Steel city of India, Green city, Clean city

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Important Formulae - Quantitative Aptitude

ALGEBRA :

1.      Sum of first n natural numbers = n(n+1)/2

2.      Sum of the squares of first n natural numbers = n(n+1)(2n+1)/6

3.      Sum of the cubes of first n natural numbers = [n(n+1)/2]²

4.      Sum of first n natural odd numbers = n²

5.      Average = (Sum of items)/Number of items

Arithmetic Progression (A.P.):

An A.P. is of the form a, a+d, a+2d, a+3d, ...

where a is called the 'first term' and d is called the 'common difference'

1.      nth term of an A.P. tn = a + (n-1)d

2.      Sum of the first n terms of an A.P. Sn = n/2[2a+(n-1)d] or Sn = n/2(first term + last term)

Geometrical Progression (G.P.):

A G.P. is of the form a, ar, ar², ar³, ...

where a is called the 'first term' and r is called the 'common ratio'.

1.      nth term of a G.P. t_n = ar^n-1

2.      Sum of the first n terms in a G.P. Sn = a|1-rⁿ|/|1-r|

Permutations and Combinations :

1.      nPr = n!/(n-r)!

2.      nPn = n!

3.      nP1 = n

1.      nCr = n!/(r! (n-r)!)

2.      nC1 = n

3.      nC0 = 1 = nCn

4.      nCr = nCn-r

5.      nCr = nPr/r!

Number of diagonals in a geometric figure of n sides = nC2-n

Tests of Divisibility :

1.      A number is divisible by 2 if it is an even number.

2.      A number is divisible by 3 if the sum of the digits is divisible by 3.

3.      A number is divisible by 4 if the number formed by the last two digits is divisible by 4.

4.      A number is divisible by 5 if the units digit is either 5 or 0.

5.      A number is divisible by 6 if the number is divisible by both 2 and 3.

6.      A number is divisible by 8 if the number formed by the last three digits is divisible by 8.

7.      A number is divisible by 9 if the sum of the digits is divisible by 9.

8.      A number is divisible by 10 if the units digit is 0.

9.      A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places, is divisible by 11.

H.C.F and L.C.M :

H.C.F stands for Highest Common Factor. The other names for H.C.F are Greatest Common Divisor (G.C.D) and Greatest Common Measure (G.C.M).

The H.C.F. of two or more numbers is the greatest number that divides each one of them exactly.

The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

Two numbers are said to be co-prime if their H.C.F. is 1.

H.C.F. of fractions = H.C.F. of numerators/L.C.M of denominators

L.C.M. of fractions = G.C.D. of numerators/H.C.F of denominators

Product of two numbers = Product of their H.C.F. and L.C.M.

PERCENTAGES :

1.      If A is R% more than B, then B is less than A by R / (100+R) * 100

2.      If A is R% less than B, then B is more than A by R / (100-R) * 100

3.      If the price of a commodity increases by R%, then reduction in consumption, not to increase the expenditure is : R/(100+R)*100

4.      If the price of a commodity decreases by R%, then the increase in consumption, not to decrease the expenditure is : R/(100-R)*100

PROFIT & LOSS :

1.      Gain = Selling Price(S.P.) - Cost Price(C.P)

2.      Loss = C.P. - S.P.

3.      Gain % = Gain * 100 / C.P.

4.      Loss % = Loss * 100 / C.P.

5.      S.P. = (100+Gain%)/100*C.P.

6.      S.P. = (100-Loss%)/100*C.P.

Short cut Methods:

1.      By selling an article for Rs. X, a man loses l%. At what price should he sell it to gain y%?       (or)

A man lost l% by selling an article for Rs. X. What percent shall he gain or lose by selling it for Rs. Y?

(100 – loss%) : 1^st S.P. = (100 + gain%) : 2^nd S.P.

2.      A man sold two articles for Rs. X each. On one he gains y% while on the other he loses y%. How much does he gain or lose in the whole transaction?

In such a question, there is always a lose. The selling price is immaterial.

Formula for loss %

3.      A discount dealer professes to sell his goods at cost price but uses a weight of 960 gms. For a kg weight. Find his gain percent.

 

Formula: Gain % =

RATIO& PROPORTIONS:

1.      The ratio a : b represents a fraction a/b. a is called antecedent and b is called consequent.

2.      The equality of two different ratios is called proportion.

3.      If a : b = c : d then a, b, c, d are in proportion. This is represented by a : b :: c : d.

4.      In a : b = c : d, then we have  a* d = b * c.

5.      If a/b = c/d then ( a + b ) / ( a – b  ) = ( d + c ) / ( d – c ).

TIME & WORK :

1.      If A can do a piece of work in n days, then A's 1 day's work = 1/n

2.      If A and B work together for n days, then (A+B)'s 1 days's work = 1/n

3.      If A is twice as good workman as B, then ratio of work done by A and B = 2:1

PIPES & CISTERNS :

1.      If a pipe can fill a tank in x hours, then part of tank filled in one hour = 1/x

2.      If a pipe can empty a full tank in y hours, then part emptied in one hour = 1/y

3.      If a pipe can fill a tank in x hours, and another pipe can empty the full tank in y hours, then on opening both the pipes,

the net part filled in 1 hour = (1/x-1/y)  if y>x

the net part emptied in 1 hour = (1/y-1/x) if x>y

TIME & DISTANCE :

1.      Distance = Speed * Time

2.      1 km/hr = 5/18 m/sec

3.      1 m/sec = 18/5 km/hr

4.      Suppose a man covers a certain distance at x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is 2xy/(x+y) kmph.

PROBLEMS ON TRAINS :

1.      Time taken by a train x metres long in passing a signal post or a pole or a standing man is equal to the time taken by the train to cover x metres.

2.      Time taken by a train x metres long in passing a stationary object of length y metres is equal to the time taken by the train to cover x+y metres.

3.      Suppose two trains are moving in the same direction at u kmph and v kmph such that u>v, then their relative speed = u-v kmph.

4.      If two trains of length x km and y km are moving in the same direction at u kmph and v kmph, where u>v, then time taken by the faster train to cross the slower train = (x+y)/(u-v) hours.

5.      Suppose two trains are moving in opposite directions at u kmph and v kmph. Then, their relative speed = (u+v) kmph.

6.      If two trains of length x km and y km are moving in the opposite directions at u kmph and v kmph, then time taken by the trains to cross each other = (x+y)/(u+v)hours.

7.      If two trains start at the same time from two points A and B towards each other and after crossing they take a and b hours in reaching B and A respectively, then A's speed : B's speed = (√b : √

SIMPLE & COMPOUND INTERESTS :

Let P be the principal, R be the interest rate percent per annum, and N be the time period.

1.      Simple Interest = (P*N*R)/100

2.      Compound Interest = P(1 + R/100)^N – P

3.      Amount = Principal + Interest

LOGORITHMS :

If a^m = x , then m = log_ax.

Properties :

1.      log _xx = 1

2.      log _x1 = 0

3.      log _a(xy) = log _ax + log _ay

4.      log _a(x/y) = log _ax - log _ay

5.      log _ax = 1/log _xa

6.      log _a(x^p) = p(log _ax)

7.      log _ax = log _bx/log _ba

Note : Logarithms for base 1 does not exist.

AREA & PERIMETER :

Shape                          Area                            Perimeter

Circle                           ∏ (Radius)²                 2∏(Radius)

Square                         (side)²                          4(side)

Rectangle                    length*breadth                        2(length+breadth)

1.      Area of a triangle = 1/2*Base*Height or

2.      Area of a triangle = √ (s(s-(s-b)(s-c)) where a,b,c are the lengths of the sides and s = (a+b+c)/2

3.      Area of a parallelogram = Base * Height

4.      Area of a rhombus = 1/2(Product of diagonals)

5.      Area of a trapezium = 1/2(Sum of parallel sides)(distance between the parallel sides)

6.      Area of a quadrilateral = 1/2(diagonal)(Sum of sides)

7.      Area of a regular hexagon = 6(√3/4)(side)²  

8.      Area of a ring = ∏(R²-r²) where R and r are the outer and inner radii of the ring.

VOLUME & SURFACE AREA :

Cube :

Let a be the length of each edge. Then,

1.      Volume of the cube = a³ cubic units

2.      Surface Area = 6a² square units

3.      Diagonal = √ 3 a units

Cuboid :

Let l be the length, b be the breadth and h be the height of a cuboid. Then

1.      Volume = lbh cu units

2.      Surface Area = 2(lb+bh+lh) sq units

3.      Diagonal = √ (l²+b²+h²)

Cylinder :

Let radius of the base be r and height of the cylinder be h. Then,

1.      Volume = ∏r²h cu units

2.      Curved Surface Area = 2∏rh sq units

3.      Total Surface Area = 2∏rh + 2∏r² sq units

Cone :

Let r be the radius of base,  h be the height, and l be the slant height of the cone. Then,

1.      l² = h² + r²

2.      Volume = 1/3(∏r²h) cu units

3.      Curved Surface Area = ∏rl sq units

4.      Total Surface Area = ∏rl + ∏r² sq units

Sphere :

Let r be the radius of the sphere. Then,

1.      Volume = (4/3)∏r³ cu units

2.      Surface Area = 4∏r² sq units

Hemi-sphere :

Let r be the radius of the hemi-sphere. Then,

1.      Volume = (2/3)∏r³ cu units

2.      Curved Surface Area = 2∏r² sq units

3.      Total Surface Area = 3∏r² sq units

Prism : 

      1.   Volume = (Area of base)(Height)